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If the company chooses to buy the wheels, income will increase by $69,000.

Explanation:

First, we need to calculate the total relevant cost of production:

Relevant cost of production:

Total cost= direct material + direct labor + avoidable overhead

Total cost= 36,000 + 54,000 + (27,000 + 45,000)

Total cost= $162,000

Now, the total cost of buying the wheels:

Total cost= 180,000*0.8 - 51,000= $93,000

Difference= 93,000 - 162,000= -$69,000

If the company chooses to buy the wheels, income will increase by $69,000.